On the Number of Simple Modules of a Supersolvable Restricted Lie Algebra
✍ Scribed by Jörg Feldvoss
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 117 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
If ᒄ is a classical simple Lie superalgebra ᒄ / P n , the enveloping algebra Ž . Ž Ž .. U ᒄ is a prime ring and hence has a simple artinian ring of quotients Q U ᒄ by Ž Ž .. Goldie's Theorem. We show that if ᒄ has Type I then Q U ᒄ is a matrix ring Ž Ž .. Ž . over Q U ᒄ . On the other hand, if ᒄ s
## dedicated to helmut wielandt on his 90th birthday We show that the length l V of the spectral sequence of a Lie algebra extension acting on a module V with a submodule W is not bounded by any function of the lengths l V/W and l W .
Let ᒄ be the Lie algebra of vector fields on an affine smooth curve ⌺. Our goal is to establish an orbit method for ᒄ. Since ᒄ is infinite-dimensional, we face some technical problems. Without having groups acting on ᒄ, we try nevertheless to define the notion of ''orbits.'' So, we focus our attenti